Student or Learner
Doesn't "about" work here? My grammar books says "on" is the only answer, but as I know "about" is more colloquial while "on" is more written, there seems to be little difference
ex)He always take notes (about, on) the lecture.
on - specific
about - general
Is this clearer?
not a teacher
Google books results:
take notes of the lecture 112
take notes on the lecture 120
take notes during the lecture 137
take notes about the lecture 2
If you write notes on (or in or during) a lecture, then you take notes while listening to a specific lecture - you write down what the lecturer is saying and use the notes to remind yourself later what they said. You might write "History lecture, 27 August 2011, covered American War of Independence, British industrial revolution and the role of women in the Second World War. Check relevant dates. Revise for next lecture".
If you write notes about a lecture, then you write notes about the subject of "a lecture". You might write "Lecture - a class given by a lecturer. A room full of people learning a particular subject. Sometimes called a class or a lesson. Usually refers to university, not school".
There are far too many different ways of using "on" and "about", not one firm rule. Sometimes they're interchangeable, sometimes they're not. Sometimes they mean the same thing, sometimes they don't. Context is always important!